<snapdata remixID="10017980"><project name="TriangleCenters" app="Snap! 6, https://snap.berkeley.edu" version="1"><notes></notes><thumbnail>data:image/png;base64,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name="Stage" width="480" height="360" costume="0" color="255,255,255,1" tempo="60" threadsafe="false" penlog="false" volume="100" pan="0" lines="round" ternary="false" hyperops="true" codify="false" inheritance="true" sublistIDs="false" scheduled="false" 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s="Centroid"></custom-block><custom-block s="Orthocenter"></custom-block><custom-block s="Circumcenter"></custom-block></script></scripts></sprite><watcher scope="Stage" s="getLastMessage" style="normal" x="20.000000000000682" y="20.000000000000014" color="230,168,34" hidden="true"/><watcher var="A_x" style="normal" x="7.999999999999545" y="4.000019999999964" color="243,118,29"/><watcher var="A_y" style="normal" x="86" y="4.999996000000095" color="243,118,29"/><watcher var="B_x" style="normal" x="7.999999999999545" y="27.000024000000025" color="243,118,29"/><watcher var="B_y" style="normal" x="86" y="26.999996000000067" color="243,118,29"/><watcher var="C_x" style="normal" x="7.999999999999545" y="46.000027999999986" color="243,118,29"/><watcher var="C_y" style="normal" x="83.99999999999955" y="48.99999600000011" color="243,118,29"/><watcher var="a" style="normal" x="192" y="4.000007999999994" color="243,118,29"/><watcher var="b" style="normal" x="193" y="25.000012000000098" color="243,118,29"/><watcher var="c" style="normal" x="191" y="46.00001600000003" color="243,118,29"/><watcher var="p" style="normal" x="190" y="67.00000399999999" color="243,118,29"/><watcher var="I_x" style="normal" x="12.000000000000455" y="112.00000800000001" color="243,118,29"/><watcher var="Ci_x" style="normal" x="11" y="133.00000000000003" color="243,118,29"/><watcher var="Ce_x" style="normal" x="10.000000000000227" y="153.00000000000009" color="243,118,29"/><watcher var="Ce_y" style="normal" x="124" y="154.00000200000014" color="243,118,29"/><watcher var="O_x" style="normal" x="11" y="174.0000000000001" color="243,118,29"/><watcher var="O_y" style="normal" x="124" y="174.000002" color="243,118,29"/><watcher var="Ci_y" style="normal" x="122.99999999999955" y="134.00000200000005" color="243,118,29"/><watcher var="I_y" style="normal" x="121.99999999999955" y="111.99999600000001" color="243,118,29"/></sprites></stage><hidden></hidden><headers></headers><code></code><blocks><block-definition s="Circumcenter" type="command" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doSetVar"><l>Ci_x</l><block s="reportQuotient"><block s="reportDifference"><block s="reportProduct"><block s="reportSum"><block s="reportPower"><block var="A_x"/><l>2</l></block><block s="reportDifference"><block s="reportPower"><block var="A_y"/><l>2</l></block><block s="reportSum"><block s="reportPower"><block var="B_x"/><l>2</l></block><block s="reportPower"><block var="B_y"/><l>2</l></block></block></block></block><block s="reportDifference"><block var="A_y"/><block var="C_y"/></block></block><block s="reportProduct"><block s="reportSum"><block s="reportPower"><block var="A_x"/><l>2</l></block><block s="reportDifference"><block s="reportPower"><block var="A_y"/><l>2</l></block><block s="reportSum"><block s="reportPower"><block var="C_x"/><l>2</l></block><block s="reportPower"><block var="C_y"/><l>2</l></block></block></block></block><block s="reportDifference"><block var="A_y"/><block var="B_y"/></block></block></block><block s="reportProduct"><l>2</l><block s="reportDifference"><block s="reportProduct"><block s="reportDifference"><block var="A_x"/><block var="B_x"/></block><block s="reportDifference"><block var="A_y"/><block var="C_y"/></block></block><block s="reportProduct"><block s="reportDifference"><block var="A_x"/><block var="C_x"/></block><block s="reportDifference"><block var="A_y"/><block var="B_y"/></block></block></block></block></block></block><block s="doSetVar"><l>Ci_y</l><block s="reportQuotient"><block s="reportDifference"><block s="reportProduct"><block s="reportSum"><block s="reportPower"><block var="A_x"/><l>2</l></block><block s="reportDifference"><block s="reportPower"><block var="A_y"/><l>2</l></block><block s="reportSum"><block s="reportPower"><block var="C_x"/><l>2</l></block><block s="reportPower"><block var="C_y"/><l>2</l></block></block></block></block><block s="reportDifference"><block var="A_x"/><block var="B_x"/></block></block><block s="reportProduct"><block s="reportSum"><block s="reportPower"><block var="A_x"/><l>2</l></block><block s="reportDifference"><block s="reportPower"><block var="A_y"/><l>2</l></block><block s="reportSum"><block s="reportPower"><block var="B_x"/><l>2</l></block><block s="reportPower"><block var="B_y"/><l>2</l></block></block></block></block><block s="reportDifference"><block var="A_x"/><block var="C_x"/></block></block></block><block s="reportProduct"><l>2</l><block s="reportDifference"><block s="reportProduct"><block s="reportDifference"><block var="A_x"/><block var="B_x"/></block><block s="reportDifference"><block var="A_y"/><block var="C_y"/></block></block><block s="reportProduct"><block s="reportDifference"><block var="A_x"/><block var="C_x"/></block><block s="reportDifference"><block var="A_y"/><block var="B_y"/></block></block></block></block></block></block></script></block-definition><block-definition s="Orthocenter" type="command" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doSetVar"><l>O_x</l><block s="reportQuotient"><block s="reportDifference"><block s="reportProduct"><block s="reportSum"><block s="reportProduct"><block var="B_x"/><block s="reportDifference"><block var="A_x"/><block var="C_x"/></block></block><block s="reportProduct"><block var="B_y"/><block s="reportDifference"><block var="A_y"/><block var="C_y"/></block></block></block><block s="reportDifference"><block var="C_y"/><block var="B_y"/></block></block><block s="reportProduct"><block s="reportDifference"><block var="C_y"/><block var="A_y"/></block><block s="reportSum"><block s="reportProduct"><block var="A_x"/><block s="reportDifference"><block var="B_x"/><block var="C_x"/></block></block><block s="reportProduct"><block var="A_y"/><block s="reportDifference"><block var="B_y"/><block var="C_y"/></block></block></block></block></block><block s="reportDifference"><block s="reportProduct"><block s="reportDifference"><block var="C_x"/><block var="B_x"/></block><block s="reportDifference"><block var="C_y"/><block var="A_y"/></block></block><block s="reportProduct"><block s="reportDifference"><block var="C_y"/><block var="B_y"/></block><block s="reportDifference"><block var="C_x"/><block var="A_x"/></block></block></block></block></block><block s="doSetVar"><l>O_y</l><block s="reportQuotient"><block s="reportDifference"><block s="reportProduct"><block s="reportSum"><block s="reportProduct"><block var="B_x"/><block s="reportDifference"><block var="A_x"/><block var="C_x"/></block></block><block s="reportProduct"><block var="B_y"/><block s="reportDifference"><block var="A_y"/><block var="C_y"/></block></block></block><block s="reportDifference"><block var="C_x"/><block var="B_x"/></block></block><block s="reportProduct"><block s="reportDifference"><block var="C_x"/><block var="A_x"/></block><block s="reportSum"><block s="reportProduct"><block var="A_x"/><block s="reportDifference"><block var="B_x"/><block var="C_x"/></block></block><block s="reportProduct"><block var="A_y"/><block s="reportDifference"><block var="B_y"/><block var="C_y"/></block></block></block></block></block><block s="reportDifference"><block s="reportProduct"><block s="reportDifference"><block var="C_y"/><block var="B_y"/></block><block s="reportDifference"><block var="C_x"/><block var="A_x"/></block></block><block s="reportProduct"><block s="reportDifference"><block var="C_x"/><block var="B_x"/></block><block s="reportDifference"><block var="C_y"/><block var="A_y"/></block></block></block></block></block></script></block-definition><block-definition s="Centroid" type="command" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doSetVar"><l>Ce_x</l><block s="reportQuotient"><block s="reportSum"><block var="A_x"/><block s="reportSum"><block var="B_x"/><block var="C_x"/></block></block><l>3</l></block></block><block s="doSetVar"><l>Ce_y</l><block s="reportQuotient"><block s="reportSum"><block var="A_y"/><block s="reportSum"><block var="B_y"/><block var="C_y"/></block></block><l>3</l></block></block></script></block-definition><block-definition s="Incenter" type="command" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doSetVar"><l>I_x</l><block s="reportQuotient"><block s="reportSum"><block s="reportProduct"><block var="a"/><block var="A_x"/></block><block s="reportSum"><block s="reportProduct"><block var="b"/><block var="B_x"/></block><block s="reportProduct"><block var="c"/><block var="C_x"/></block></block></block><block var="p"/></block></block><block s="doSetVar"><l>I_y</l><block s="reportQuotient"><block s="reportSum"><block s="reportProduct"><block var="a"/><block var="A_y"/></block><block s="reportSum"><block s="reportProduct"><block var="b"/><block var="B_y"/></block><block s="reportProduct"><block var="c"/><block var="C_y"/></block></block></block><block var="p"/></block></block></script></block-definition><block-definition s="Lengths &amp; Perimeter" type="command" category="operators"><header></header><code></code><translations></translations><inputs></inputs><script><block s="doSetVar"><l>a</l><block s="reportMonadic"><l><option>sqrt</option></l><block s="reportSum"><block s="reportPower"><block s="reportDifference"><block var="C_x"/><block var="B_x"/></block><l>2</l></block><block s="reportPower"><block s="reportDifference"><block var="C_y"/><block var="B_y"/></block><l>2</l></block></block></block></block><block s="doSetVar"><l>b</l><block s="reportMonadic"><l><option>sqrt</option></l><block s="reportSum"><block s="reportPower"><block s="reportDifference"><block var="C_x"/><block var="A_x"/></block><l>2</l></block><block s="reportPower"><block s="reportDifference"><block var="C_y"/><block var="A_y"/></block><l>2</l></block></block></block></block><block s="doSetVar"><l>c</l><block s="reportMonadic"><l><option>sqrt</option></l><block s="reportSum"><block s="reportPower"><block s="reportDifference"><block var="B_x"/><block var="A_x"/></block><l>2</l></block><block s="reportPower"><block s="reportDifference"><block var="B_y"/><block var="A_y"/></block><l>2</l></block></block></block></block><block s="doSetVar"><l>p</l><block s="reportSum"><block var="a"/><block s="reportSum"><block var="b"/><block var="c"/></block></block></block></script></block-definition></blocks><variables><variable name="p"><l>17.071067811865476</l></variable><variable name="a"><l>7.0710678118654755</l></variable><variable name="b"><l>5</l></variable><variable name="c"><l>5</l></variable><variable name="A_x"><l>5</l></variable><variable name="B_x"><l>10</l></variable><variable name="C_x"><l>5</l></variable><variable name="A_y"><l>5</l></variable><variable name="B_y"><l>5</l></variable><variable name="C_y"><l>0</l></variable><variable name="I_x"><l>6.464466094067262</l></variable><variable name="I_y"><l>3.5355339059327378</l></variable><variable name="Ce_x"><l>6.666666666666667</l></variable><variable name="Ce_y"><l>3.3333333333333335</l></variable><variable name="Ci_x"><l>7.5</l></variable><variable name="Ci_y"><l>2.5</l></variable><variable name="O_x"><l>5</l></variable><variable name="O_y"><l>5</l></variable></variables></project><media name="TriangleCenters" app="Snap! 6, https://snap.berkeley.edu" version="1"></media></snapdata>